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Finding the Fourth Proportional to 844.77, 1,267.28 and 382.54

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Solution

The fourth proportional to 844.77, 1,267.28 and 382.54 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.77 : 1,267.28 = 382.54 : x
  2. Step 2: Convert to fraction form
    844.77/1,267.28 = 382.54/x
  3. Step 3: Cross multiply
    844.77x = 1,267.28 × 382.54
  4. Step 4: Simplify right side
    844.77x = 484,783.08
  5. Step 5: Solve for x
    x = 484,783.08/844.77
  6. Step 6: Final answer
    x = 573.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.